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Finding the Fourth Proportional to 170.64, 256.35 and 132.57

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Solution

The fourth proportional to 170.64, 256.35 and 132.57 is: 199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.64 : 256.35 = 132.57 : x
  2. Step 2: Convert to fraction form
    170.64/256.35 = 132.57/x
  3. Step 3: Cross multiply
    170.64x = 256.35 × 132.57
  4. Step 4: Simplify right side
    170.64x = 33,984.32
  5. Step 5: Solve for x
    x = 33,984.32/170.64
  6. Step 6: Final answer
    x = 199.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.